Isosurface reconstruction with topology control

Bischoff, Stephan; Kobbelt, Leif

doi:10.1109/pccga.2002.1167868

Cited by 27 publications

(28 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Another algorithm to detect non-separating cuts has been proposed by Guskov and Wood [23]. In our approach, we prefer to compute β 1 (V) locally, following the approach of Bischoff and Kobbelt [7]. This enables us to quickly detect topological changes caused by the application of morphological operators (see Section 5.3), even if the two other Betti numbers still need to be computed globally.…”

Section: Topology Of Discrete Volumes: Notations and Definitionsmentioning

confidence: 99%

“…In order to efficiently compute χ (without keeping track of faces, edges, etc. ), we exploit the fact that χ is additive, as did for instance [7] -given two sets A and B, χ(A ∪ B) = χ(A) + χ(B) − χ(A ∩ B). Since each vertex of V belongs to 8 voxels (remember that no voxel of V belongs to the external "layer" of the initial voxelization), χ is the sum of the local Euler characteristics around each vertex of the voxelization divided by 8.…”

Section: Topology Of Discrete Volumes: Notations and Definitionsmentioning

confidence: 99%

See 1 more Smart Citation

Mesh repair with user-friendly topology control

Hétroy

Rey

Andújar

et al. 2011

Computer-Aided Design

View full text Add to dashboard Cite

Limitations of current 3D acquisition technology often lead to polygonal meshes exhibiting a number of geometrical and topological defects which prevent them from widespread use. In this paper we present a new method for model repair which takes as input an arbitrary polygonal mesh and outputs a valid two-manifold triangle mesh. Unlike previous work, our method allows users to quickly identify areas with potential topological errors and to choose how to fix them in a userfriendly manner. Key steps of our algorithm include the conversion of the input model into a set of voxels, the use of morphological operators to allow the user to modify the topology of the discrete model, and the conversion of the corrected voxel set back into a two-manifold triangle mesh. Our experiments demonstrate that the proposed algorithm is suitable for repairing meshes of a large class of shapes.

show abstract

Section: Topology Of Discrete Volumes: Notations and Definitionsmentioning

confidence: 99%

Section: Topology Of Discrete Volumes: Notations and Definitionsmentioning

confidence: 99%

Mesh repair with user-friendly topology control

Hétroy

Rey

Andújar

et al. 2011

Computer-Aided Design

View full text Add to dashboard Cite

show abstract

“…Recent research has focused on the problem of topological noise removal. 7,8,16,20 This work focuses on removing the excess topology in either the volumetric or surface setting. Additional work from the domain of human brain cortex modeling addresses excess topology as well.…”

Section: Related Workmentioning

confidence: 99%

Locating the source of topological error in reconstructed 3D models

2008

View full text Add to dashboard Cite

Although range scanning technology has offered great improvements to digital model creation in recent years, it has also introduced some new concerns. Specifically, recent work shows that topological errors such as tiny handles can significantly lower the overall quality of range-scanned models for down-stream applications (such as simplification and parameterization). In this paper we present our investigation into the source of this topological error in the range scanning process, and our methods to alleviate the error. We concentrated our investigation of the scanning process on: (1) signal noise or calibration error in the laser scanner (resulting in bad data points) and (2) error during the model reconstruction phase. We found that by modifying the surface reconstruction phase of the range scanning process, we were able to reduce the amount of topological noise in the resulting 3D model by up to 60 percent.

show abstract

“…The surface is then deformed in order to minimize the mean curvature on the surface. Bischoff and Kobbelt [1] introduced algorithms on isosurface topology simplification and isosurface reconstruction with topology control. They use a priori knowledge about the topology of the input data to eliminate topological artefacts which is not available in our special application scenario.…”

Section: Local Surface Extractionmentioning

confidence: 99%

Surface Extraction from Multi-Material Components for Metrology using Dual Energy CT

Heinzl

Kastner

Gröller

2007

IEEE Trans. Visual. Comput. Graphics

View full text Add to dashboard Cite

This paper describes a novel method for creating surface models of multi-material components using dual energy computed tomography (DECT). Application scenario for the presented work is metrology and dimensional measurement of multi-material components in industrial high resolution 3D X-Ray computed tomography (3DCT). The basis of this method is the dual source / dual exposure technology using the different X-Ray imaging modalities of a high precision micro-focus and a high energy macro-focus X-Ray source.The presented work aims at combining the advantages of both X-Ray modalities in order to facilitate dimensional measurement of multi-material components with high density material within low density material. We propose a pipeline model using image fusion and local surface extraction technologies: A prefiltering step reduces data inherent noise. For image fusion purposes the datasets have to be registered to each other. In the fusion step the benefits of each modality are combined. So the structure of the specimen is taken from the low precision, blurry, high energy dataset while the sharp edges are adopted and fused into the resulting image from the high precision, crisp, low energy dataset. In the final step a reliable surface model is calculated of the fused dataset, which locally adapts the surface model by moving surface vertices in the direction of the corresponding point normal to a position with maximum gradient magnitude.The major contribution of this paper is the development of a specific workflow for dimensional measurement of *

show abstract

Isosurface reconstruction with topology control

Cited by 27 publications

References 17 publications

Mesh repair with user-friendly topology control

Mesh repair with user-friendly topology control

Locating the source of topological error in reconstructed 3D models

Surface Extraction from Multi-Material Components for Metrology using Dual Energy CT

Contact Info

Product

Resources

About